Nonlinear couplings among units (nodes) are ubiquitous in engineering systems including, e.g., radar and sonar systems, which have been ignored in most works. In this article, the problem of distributed synchronization of nonlinear networked systems with nonlinear couplings is studied. Specifically, two kinds of nodes’ communication couplings including nonlinear relative and nonlinear absolute state couplings are considered. To reduce the requirements of control and communication among nodes and avoid any global network information, two edge-based fully adaptive event-triggered control protocols based on nonlinear relative and absolute state couplings are proposed by using the projection operator technique, which is followed by design of corresponding dynamic event-triggered mechanisms. The advantages of our proposed dynamic event-triggered strategies show that it can boil down to existing static ones as special examples, and the minimal inter-execution time of the proposed dynamic triggering laws is larger than that of static ones. Theoretical analysis shows that the proposed algorithm not only guarantees fully adaptive Zeno-free synchronization of networked systems without requiring any global information, but also avoids continuous communications among nodes, and considerably reduce the frequency of controller updates. Finally, the practical merits of the proposed algorithms are corroborated using a Chua’s circuit network.

中文翻译：

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分布式自适应同步控制的动态触发机制及其在电路系统中的应用

单元（节点）之间的非线性耦合在包括雷达和声纳系统在内的工程系统中无处不在，在大多数工作中已被忽略。本文研究了带有非线性耦合的非线性网络系统的分布式同步问题。具体地，考虑了两种节点的通信耦合，包括非线性相对和非线性绝对状态耦合。为了降低节点之间的控制和通信需求，避免任何全局网络信息，提出了两种基于非线性相对和绝对状态耦合的基于边缘的全自适应事件触发控制协议，并采用投影算子技术进行了设计。相应的动态事件触发机制。我们提出的动态事件触发策略的优点表明，它可以归结为现有的静态事件作为特殊示例，并且所提出的动态触发律的最小执行时间比静态事件触发的最小。理论分析表明，该算法不仅保证了网络系统的完全自适应无零同步，而无需任何全局信息，而且避免了节点之间的连续通信，并大大降低了控制器更新的频率。最后，使用蔡氏电路网络证实了所提出算法的实际优点。理论分析表明，该算法不仅保证了网络系统的完全自适应无零同步，而无需任何全局信息，而且避免了节点之间的连续通信，并大大降低了控制器更新的频率。最后，使用蔡氏电路网络证实了所提出算法的实际优点。理论分析表明，该算法不仅保证了网络系统的完全自适应无零同步，而无需任何全局信息，而且避免了节点之间的连续通信，并大大降低了控制器更新的频率。最后，使用蔡氏电路网络证实了所提出算法的实际优点。